Diophantine subsets of function fields of curves
Number Theory
2011-11-10 v2 Algebraic Geometry
Abstract
We consider diophantine subsets of function fields of curves and show, roughly speaking, that they are either very small or very large. In particular, this implies that the ring of polynomials is a not a diophantine subset of the field of rational functions for many fields .
Cite
@article{arxiv.0708.3451,
title = {Diophantine subsets of function fields of curves},
author = {János Kollár},
journal= {arXiv preprint arXiv:0708.3451},
year = {2011}
}
Comments
Substantial revisions 1/18/08